Some novel aggregation operators for cubic picture fuzzy information: application in multi-attribute decision support problem

Abstract

Cubic picture fuzzy set (CPFS) is the hybrid version of the interval-valued picture fuzzy set (IPVFS) and the picture fuzzy set (PFS) simultaneously. Clearly, the CPFS contains significantly more information than the general IVPFS and PFS in order to address the vulnerability of decision-making problems. Lamentably, the aggregation operators have not been researched so far on the basis of CPFS. In the techniques of group decision-making, aggregation operators are an important mathematical method to resolve ambiguity in decision-making problems. The present paper proposes few novel geometric mean aggregation operators, in particular, cubic picture fuzzy geometric and cubic picture fuzzy geometric star aggregation operators between cubic picture fuzzy numbers to aggregate the different predispositions of the decision maker. Then, based on the proposed operators in the cubic picture fuzzy environment, we developed a decision-making method and illustrated a numerical example. Finally, in order to demonstrate the supremacy of the proposed technique, classify its comparison with the existing approach. The results showed that the established decision-making technique was superior, accurate and effective.